00:01
In this problem, we have to compare the electrical force and the gravitational force between an electron and a proton.
00:11
So let's say these two particles are separated by a distance r.
00:15
And let's use this equation according to kulom's law to get the electrical force between these two charged particles.
00:23
And let's put the values into this equation.
00:25
So we get f .e.
00:27
Equal to k that's culems constant which is nine times ten raised to nine multiplied with the charge carried by each of these particles and we know that the charge carried by each of these particles has a magnitude of 1 .6 times 10 raised to minus 19 so we squared this and this is divided by the square of the separation and now let's mark this as equation one and let's use this equation according to universal law of gravitation to compute the gravitational force between the electron and the proton.
01:06
So this is equal to g which is universal gravitational constant and we have the value of g here.
01:12
Let's use that value.
01:14
So 6 .67 times 10 raised to minus 11, multiplied with the mass of the electron and the proton that we have here.
01:22
So let's put that value here.
01:25
So 9 .1 times 10 raised to minus 31 multiplied with the mass of the proton which is 1 .67 times 10 raised 2 minus 27 and this divided by the square of the separation and let's mark this as equation 2 so we are required to compare the force between the electron and the proton so basically we have to compare the electrical force and gravitational force so let's divide equation 1 with the equation 2 so when we divide them we get f e by fg coming out to be 9 times 10 raised to 9 multiplied with 1 .6 times 10 raised to minus 19 whole square divided by 6 .67 times 9 .1 into 10 .1 .67 and now we take the power of 10.
02:19
So we have 10 raise to minus 11 times 10 raised to minus 31 times 10 raised to minus 27.
02:27
And this turns out to be 10 raised to minus 69...